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AleksAgata [21]
4 years ago
8

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 12$ and $a^5 b^5 = 7776$. what is the value of $a$ in this ordered

pair?
Mathematics
1 answer:
LenaWriter [7]4 years ago
8 0
This is the concept of algebra, given that ab^4=12 and a^5b^5=7776, the value if a will be found as follows:
ab^4=12
a=12/b^4
also;
a^5=7776/b^5
thus;
a=(7776/b^5)^(1/5)
a=6/b
thus the value of a will be:
6/b=12/b^4
dividing both sides by b we get:
6=12/b^3
multiplying both sides by b^3 we get
6b^3=12
b^3=2
hence;
b=2^(1/3)



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How much interest is earned in 2 years on an investment of $2,000? The interest rate
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Find the range f(x) =-2x-5 for the domain (-2,-1,1,2).
iVinArrow [24]

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Step-by-step explanation:

To obtain the range substitute the values of x from the domain into f(x)

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f(- 1) = - 2(- 1) - 5 = 2 - 5 = - 3

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f(2) = - 2(2) - 5 = - 4 - 5 = - 9

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8 0
3 years ago
Find the equation of the line in slope intercept for that is perpendicular to y=6x-1 and passes through the point (-6,18)
Anettt [7]

Answer:

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Step-by-step explanation:

Step 1: find the slope

y = 6x - 1

Equation of a line is

y = mx + c.

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Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other

m = -1/6

Step 2 : using a point slope form equation

y - y1 = m( x - x1)

( -6 , 18)

x1 = -6

y1 = 18

y - 18 = -1/6(x - (-6)

y - 18 = -1/6( x + 6)

y - 18 = -x - 6 / 6

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y = (-x - 6 + 108)/6

y = -x + 102 / 6

y = -x/6 + 102/6

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The equation of the line is

y = -x/6 + 17

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3 years ago
A group of 140 tourists are going on a tour. The tour guide rents 15 vans. Each van holds 9 tourist. write a division problem th
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